Find the signs of the six trigonometric function values for the given angle. \[ -226^{\circ} \] The trigonometric function value of $\sin \left(-226^{\circ}\right)$ is $\cos \left(-226^{\circ}\right)$ is and $\tan \left(-226^{\circ}\right)$ The trigonometric function value of $\csc \left(-226^{\circ}\right)$ is $\sec \left(-226^{\circ}\right)$ is and $\cot \left(-226^{\circ}\right)$

Step 1 ：Given the angle is -226 degrees.

Step 2 ：An angle of -226 degrees is in the third quadrant.

Step 3 ：In the third quadrant, sine and its reciprocal cosecant are negative, and cosine and its reciprocal secant are also negative.

Step 4 ：Tangent and its reciprocal cotangent, which are the ratio of sine to cosine, are positive in the third quadrant.

Step 5 ：Thus, the signs of the six trigonometric function values for the given angle -226 degrees are as follows:

Step 6 ：\(\sin (-226^\circ)\) is negative, \(\cos (-226^\circ)\) is negative, \(\tan (-226^\circ)\) is positive

Step 7 ：\(\csc (-226^\circ)\) is negative, \(\sec (-226^\circ)\) is negative, \(\cot (-226^\circ)\) is positive

Step 8 ：Final Answer: \(\boxed{\sin (-226^\circ) : - , \cos (-226^\circ) : - , \tan (-226^\circ) : + , \csc (-226^\circ) : - , \sec (-226^\circ) : - , \cot (-226^\circ) : +}\)